Module 5.3 - Oscillations

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Last updated 6:14 PM on 1/1/26
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17 Terms

1
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Define angular frequency

A measure of an object’s angular displacement over time

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Define critical damping

A type of damping that reduces the displacement of an oscillating object in the shortest time possible and without further oscillation

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Define overdamping

A type of damping that reduces the displacement of an oscillating object without further oscillation

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Define damping

The use of damping forces acting in the opposite direction to its motion to dissipate energy from an oscillating system and reducing its amplitude over time

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Define forced oscillations

The use of an external periodic driving force to force a system to keep oscillating. The system will have the same frequency as the driving frequency

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Define free oscillations

Oscillations that occur without an external driving force and oscillate at their natural frequency

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Define isochronous oscillations

An oscillator whose frequency is independent of its amplitude

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Define simple harmonic motion

Motion where the displacement is directly proportional and acting in the opposite direction to the acceleration

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Define phase difference

The fraction of an oscillation between the position of two oscillating objects

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What is the equation that links acceleration and angular frequency?

a=-ω²x

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Which equations can be used to find the displacement of a simple harmonic oscillator?

x=Asinωt; x=Acosωt

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What is the equation that can be used to determine the general velocity of a simple harmonic oscillator?

v=ω√A²-x²; v=-ω√A²-x²

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What equation can be used to determine the maximum velocity of a simple harmonic oscillator?

v=ωA

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When does the maximum velocity and kinetic energy occur in a simple harmonic oscillator?

At the equilibrium position

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When does a simple harmonic oscillator have maximum potential energy?

At maximum displacement

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What is resonance?

The rapid increase in an oscillation’s amplitude that continues growing until system failure

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When does resonance occur?

When the driving frequency is equal to an oscillator’s natural frequency